If f(x)={\\begin{array}{c}x e^{- (\\\{1\end{array}/{{|x|}}+\frac{1}{z}) } ,{, } x \neq 0 ; 0 ,{, } x=0}. then f(x) is [AIEEE 2003]

Correct Answer is : continuous for all x but not differentiable at x=0

continuous as well as differentiable for all x

continuous for all x but not differentiable at x=0

neither differentiable nor continuous at x=0

AIEEE 2003 Math Solved Paper

Section: Mathematics

Question : 64 of 66

Marks: +1, -0

If f(x)={

xe−(‌

|x|

+‌

)

,‌x≠0

,‌x=0

. then f(x) is

[AIEEE 2003]

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